





from __future__ import annotations

from random import random

class 						SCREAMING_SNAKE_CASE__							:


      def __init__(self			: str							,     a__			: int | None = None ):





         """simple docstring"""



         __snake_case							=  value
         __snake_case							=  random()
         __snake_case							=  None
         __snake_case							=  None


      def __repr__(self			: int ):





         """simple docstring"""



         from pprint import pformat

         if self.left is None and self.right is None:
            return f"""\'{self.value}: {self.prior:.5}\'"""
         else:
            return pformat(
                {f"""{self.value}: {self.prior:.5}""": (self.left, self.right)}							,     indent=1 )


      def __str__(self			: int ):





         """simple docstring"""



         __snake_case							=  str(self.value ) + ''' '''
         __snake_case							=  str(self.left or '''''' )
         __snake_case							=  str(self.right or '''''' )
         return value + left + right






def lowerCamelCase__       (				snake_case_      :    Dict			, snake_case_      :    List[str]			) ->							tuple[Node | None, Node | None]:

   if root is None:  # None tree is split into 2 Nones
      return None, None
   elif root.value is None:
      return None, None
   else:
      if value < root.value:
         __snake_case			,      __snake_case							=  split(root.left			, a__			)
         return left, root
      else:
         __snake_case			,      __snake_case							=  split(root.right			, a__			)
         return root, right






def lowerCamelCase__       (				snake_case_      :    Tuple			, snake_case_      :    Optional[int]			) ->							Node | None:

   if (not left) or (not right):  # If one node is None, return the other
      return left or right
   elif left.prior < right.prior:
      __snake_case							=  merge(left.right			, a__			)
      return left
   else:
      __snake_case							=  merge(a__			, right.left			)
      return right






def lowerCamelCase__       (				snake_case_      :    List[Any]			, snake_case_      :    Any			) ->							Node | None:
   __snake_case							=  Node(a__			)
   __snake_case			,      __snake_case							=  split(a__			, a__			)
   return merge(merge(a__			, a__			)			, a__			)






def lowerCamelCase__       (				snake_case_      :    int			, snake_case_      :    Optional[int]			) ->							Node | None:
   __snake_case			,      __snake_case							=  split(a__			, value - 1			)
   __snake_case			,      __snake_case							=  split(a__			, a__			)
   return merge(a__			, a__			)






def lowerCamelCase__       (				snake_case_      :    int			) ->							None:

   if not root:  # None
      return
   else:
      inorder(root.left			)
      print(root.value			, end=''','''			)
      inorder(root.right			)






def lowerCamelCase__       (				snake_case_      :    Any			, snake_case_      :    Dict			) ->							Node | None:

   for arg in args.split():
      if arg[0] == "+":
         __snake_case							=  insert(a__			, int(arg[1:]			)			)

      elif arg[0] == "-":
         __snake_case							=  erase(a__			, int(arg[1:]			)			)

      else:
         print('''Unknown command'''			)

   return root






def lowerCamelCase__       (				) ->							None:
   __snake_case							=  None
   print(
       '''enter numbers to create a tree, + value to add value into treap, '''
       '''- value to erase all nodes with value. \'q\' to quit. '''			)

   __snake_case							=  input()
   while args != "q":
      __snake_case							=  interact_treap(a__			, a__			)
      print(a__			)
      __snake_case							=  input()

   print('''good by!'''			)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()


def 				lowerCAmelCase__       (			a__    ,     a__    ,     a__    ,     a__    ,     a__ )      ->int:




  '''simple docstring'''

  if index == number_of_items:
    return 0
  _UpperCamelCase           =    0
  _UpperCamelCase           =    0
  _UpperCamelCase           =    knapsack(a__    ,     a__    ,     a__    ,     a__    ,     index + 1 )
  if weights[index] <= max_weight:
    _UpperCamelCase           =    values[index] + knapsack(
        a__    ,     a__    ,     a__    ,     max_weight - weights[index]    ,     index + 1 )
  return max(a__    ,     a__ )


if __name__ == "__main__":
   import doctest

   doctest.testmod()




